Quasitriangular Hopf algebras were introduced by Drinfeld [1]} to give solutions of the quantum Yang-Baxter equations. By definition, a quasitriangular Hopf algebra is a Hopf algebras whose finite-dimensional representations form a braided rigid tensor category, which naturally relates to low dimensional topology (see [2]}, [3]}, [4]}, [5]}). Since then, they have been intensively studied.
